MATH 21A Final: MATH 20 Harvard 2004Spring20Final sol
Document Summary
Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the college. 1: (20 points) for this and the next three problems, let. 1 (a) find the reduced row echelon form of a. label each operation to receive partial credit in case of arithmetic mistakes. Row 2 + ( 2) row 1. Row 3 + ( 1) row 1. 2 row 2 (b) find each of the following numbers. The rank is the dimension of the column space, or the number of columns of the rref which are standard basis vectors, or the number of leading entries in the rref. This number is apparently 2. (ii) null a. The rank plus the nullity is the number of columns in a matrix.
